172 LearnersLast updated on May 26th, 2025
LCM of 7 and 11
The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.
What is the LCM of 7 and 11
The LCM of 7 and 11 is the lowest number that divides both 7 and 11 without leaving any remainder. The LCM of 7 and 11 is 77.
How to find the LCM of 7 and 11?
The LCM of 7 and 11 can be found by the following methods like division method, listing multiples, prime factorization.
LCM of 7 and 11 using Division method:
In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.
7 divides 7 leaving 1
11 divides 11 leaving 1
LCM = 7 × 11= 77.
LCM of 7 and 11 using Listing multiples:
We write the multiples of both numbers till we find the common one.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77…
Multiples of 11: 11, 22, 33, 44, 55, 66, 77…
The common multiple is 77. So, the LCM of 7 and 11 is 77.
LCM of 7 and 11 using prime factorization:
We part each number into divisors and select the highest powers of all the prime factors.
7= 7
11= 11
LCM = 7 × 11= 77.
Common Mistakes and How to Avoid Them in LCM of 7 and 11
While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them.
Mistake 1
Not including the prime factors with the right one.
Children sometimes get confused and do not include the prime factors, instead of writing 9=3×3 they write 9=3×1. Students should always break numbers into prime numbers.
LCM of 7 and 11 Examples
Problem 1
How many common multiples do 7 and 11 have below 500.
The LCM of 7 and 11 is 77.
Explanation
Now let's find how many multiples of 77 are less than 500.
500/77 = 6.49
There are 6 common multiples 77,154,231,308,385,462.
There are 6 common multiples of 7 and 11 below 500, which are 77,154,231,308,385, and 462.
Problem 2
Solve the following expression using LCM of 7 and 11: 5/7 + 3/11
The sum of 5/7 and 3/11 is 76/77.
Explanation
LCM(7,11)=77
5/7 = 55/77 , 3/11=21/77
Add the fractions:
55/77 + 21/77 = 76/77
The sum of 5/7 and 3/11 is 76/77.
Problem 3
A clock chimes every 7 minutes, and a bell rings every 11 minutes. How many times will they chime together in 5 hours?
The clock and bell will chime together 3 times in 5 hours.
Explanation
Convert 5 hours to minutes:
5 × 60 = 300 minutes
The LCM of 7 and 11 is 77 minutes.
Divide : 300/77 = 3.89
Approximately, they will chime together 3 times.
The clock and bell will chime together 3 times in 5 hours.
FAQ’s on LCM of 7 and 11
1.What is the easy trick to find the divisibility of 7 ?
2.Is 7 11 13 divisible?
3.Is 333 a prime number ?
4.Is 5,12,13 a right triangle?
5.How can children in United States use numbers in everyday life to understand LCM of 7 and 11?
6.What are some fun ways kids in United States can practice LCM of 7 and 11 with numbers?
7.What role do numbers and LCM of 7 and 11 play in helping children in United States develop problem-solving skills?
8.How can families in United States create number-rich environments to improve LCM of 7 and 11 skills?
Important glossaries for LCM of 7 and 11
- Co-prime: two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co-prime numbers.
- Even Number: A natural number is divisible by 2. For example, 2,4,68,10 etc.
- Prime Factorization: The process of parting down a number into its prime factors is called Prime Factorization. For example, prime factorization of 24 = 2 × 2 × 2 × 3.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
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